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Finding the Fourth Proportional to 299,114, 412,762.74 and 178,252.52

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Solution

The fourth proportional to 299,114, 412,762.74 and 178,252.52 is: 245,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,114 : 412,762.74 = 178,252.52 : x
  2. Step 2: Convert to fraction form
    299,114/412,762.74 = 178,252.52/x
  3. Step 3: Cross multiply
    299,114x = 412,762.74 × 178,252.52
  4. Step 4: Simplify right side
    299,114x = 73,575,998,567.10
  5. Step 5: Solve for x
    x = 73,575,998,567.10/299,114
  6. Step 6: Final answer
    x = 245,979.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.